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Volume: Word Problems
3
WORD problems are WOLRD problems, you just need that light bulb.
Mass: Recap and Word Problems
Cube and Cuboid
100cm = 1m
(100cm) ^ 3 = (1m)^3
100 x 100 x 100cm = 1000000cm^3
Therefore, 1000000cm^3 = 1m^3
Recap: Conversion of Volume
Triangular Prism
What we do on one side we have to do for the other side.
Convert the units of capacity and volume.
7.889 mL
= _____L
= _____kL
= _____ML
Warm up
55387mm^3
= _____cm^3
= _____m^3
How to tackle a word problem.
Strategies to tackle word problems
Reread
1) Read
Read
Read through the word problem, do not skim unless you are extremly confident.
- What is the question asking? What do I need to answer the question?
- Remove words that are not necessary and label the key words.
2) Think about it
Operations - Total = Addition (+)
Convert = May need to use either divide (÷) or mutiplication (x)
Additional information = operations depends on the information.
Definition = Volume and Capacity, what units are being used?
Think, not over-think
***This step is very crucial and can affect your answer(s). Do not skip this step.***
- What are the operations do I need?
- Which operations should I use first?
- CHECK AGAIN, is there any additional information that I have missed or need?
- Is there more than one answer or method?
- ***If you feel that there is information missing do not overthink.
3) Rewrite
Rewrite it, analyse the information
- Rewrite in your own words.
- It is optional to rewrite the question. As you get better at word problems the less rewriting you will have to do.
- Rewriting the question helps as a side note to ensure that you do not make mistakes.
4) Attempt
Attempt
- Apply your steps.
- ***IT IS IMPORTANT TO ENSURE YOU HAVE YOUR OPERATIONS SHOWN INCLUDING YOUR WORKING BECAUSE IT SHOWS US YOU KNOW HOW TO REASON.
(This will be required of you throughout your high-school life, so it is important to practise it)
- It is fine to not show the working for conversion, however most students make mistakes during conversion when they do not show it in working.
5) Check your work
Check!
- Reread the question and compare it with you answers. Did you get it all?
- You decide either you get it or you've accidentally missed something.
- ITS OKAY TO MAKE MISTAKES. Rewrite it and apply new working.
- Remember to not over-think, because it will make you doubt yourself.
Word Problem : Capacity
WP 2 - Answer:
WP 1 -Answer:
The answer will vary.
James needs to fill a bucket with 2L of water.
He has bottles that can hold the amounts of;
200ml, 250ml, 500ml and 750ml.
What are the different ways that he fill the water bucket (you may use the bottles more than once).
A swimming pool has 8000KL of water.
It was a hot day on Monday, and the pool lost 7.8l of water.
On Tuesday was swimming day. The pool lost another 100000ml of water to splashing.
What is the total amount of water left-over in KL?
Word Problem : Volume
WP 2 - Answer:
WP 1 -Answer:
A cubical water tank has a height of 9.6 inches. How much water can the tank hold?
Find the volume of a rectangular prism whose length, width, height are 18 feet, 10.8 feet and 14.5 feet respectively.
Find the volume of a triangular prism.
A man and woman are getting married in May. They need to build a tent big enough to fit all their guests.
What is the volume of the tent if it was 30m tall, 500m in length and 15m in width?